# Do Now  Take out your calculator  Take a protractor from the front.  Draw a right triangle DEF with 20 o, 70 o and 90 o angles, respectively. Make sure.

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Do Now  Take out your calculator  Take a protractor from the front.  Draw a right triangle DEF with 20 o, 70 o and 90 o angles, respectively. Make sure your sides are straight and your angles are accurate.

Solving with Trig Ratios

Today’s Objectives  Use the sine, cosine and tangent ratios to solve problems.  Find missing sides and angles.  Apply inverse trigonometry.  Use problem solving skills.

Investigation  What observations can you make about the trigonometric ratios you found?  What is the relationship between the values for 20 o and the values for 70 o ?  Why do you think these relationships exist?

Trig Tables

Calculators of 2015  Experiment with your calculator to determine how to find the sine, cosine, and tangent values of angles.  Use your calculator to compare with the trig ratios you found by measuring sides.

Example  Find the length of the hypotenuse of a right triangle if an acute angle measures 20 o and the leg opposite the angle measures 410ft. 410 ft 20 o x

Example  A right triangle has legs of length 8 inches and 15 inches. Find the measure of the angle opposite the 8-inch leg. 8 in xoxo 15 in

Practice

Today’s Objectives  Use the sine, cosine and tangent ratios to solve problems.  Find missing sides and angles.  Apply inverse trigonometry.  Use problem solving skills.

Exit Slip 1. Find the missing side to the nearest whole cm. 2. Find the perimeter of this right triangle. 85m 35 o 17cm65 o b

Honors Exit Slip 1. Find the missing side to the nearest whole cm. 2. Find the perimeter of this rectangle. 85m 35 o 17cm65 o b

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